Ação efetiva de baixas energias em teoria de supercampos com altas derivadas

• Ano de defesa: 2014
• Autor(a) principal: Gama, Fabrício dos Santos
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraí­ba; BR; Física; Programa de Pós-Graduação em Física; UFPB
• Palavras-chave em Português: Física; Teorias quânticas de campos; Teorias de supercampos; Teoria com altas derivadas; Ação efetiva; CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/5757

Higher derivative theories were introduced quite early in an attempt to regularize the ultraviolet divergencies of quantum field theories. Unfortunately, higher derivatives theories have an energy which is not bounded from below and seem to lead to ghosts, states with negative norm, that violate the unitarity. In spite of that, higher derivative theories have better renormalisation properties than the conventional theories and thus have been thoroughly studied. Recently, in the context of supersymmetric theories the interest in this subject has been stimulated by the studies about, for instance, the higher derivative regularization method, the higher derivative supergravity model, the classical aspects of the higher derivative chiral superfield models, and so on. This thesis examines low-energy effective actions of higher-derivative supersymmetric quantum field theories. In particular, we construct four higher derivative supersymmetric theories which are consistent with the symmetries of the theories without higher derivatives. The models studied here are the following: Generic higher-derivative supersymmetric threedimensional gauge theory; Generic higher-derivative three-dimensional scalar superfield theory; Generic higher-derivative N = 2;d = 3 gauge theory; Higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. For these models, we calculate the Kälerian contributions to the one-loop effective potential, and in order to obtain such contributions we use the standard Feynman supergraphs techniques or calculate the functional trace via direct expansion. In the present study, we show that the one-loop Kählerian effective potential for all of the four theories does not display any divergences.